1020100101221 has 16 divisors (see below), whose sum is σ = 1027892332800. Its totient is φ = 1012331755968.

The previous prime is 1020100101203. The next prime is 1020100101227. The reversal of 1020100101221 is 1221010010201.

It is a cyclic number.

It is not a de Polignac number, because 1020100101221 - 2²² = 1020095906917 is a prime.

It is a super-2 number, since 2×1020100101221² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020100101227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 299411300 + ... + 299414706.

It is an arithmetic number, because the mean of its divisors is an integer number (64243270800).

Almost surely, 2^{1020100101221} is an apocalyptic number.

It is an amenable number.

1020100101221 is a deficient number, since it is larger than the sum of its proper divisors (7792231579).

1020100101221 is a wasteful number, since it uses less digits than its factorization.

1020100101221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6268.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1020100101221 its reverse (1221010010201), we get a palindrome (2241110111422).

The spelling of 1020100101221 in words is "one trillion, twenty billion, one hundred million, one hundred one thousand, two hundred twenty-one".